Higgs Bosons in Heavy Supersymmetry with an Intermediate $m_A$

TL;DR

This paper analyzes how the mass and couplings of the lightest Higgs boson in supersymmetry are affected when considering an intermediate CP-odd Higgs mass, using effective theory techniques to improve predictions.

Contribution

It extends previous analyses by including a CP-odd Higgs mass around the weak scale and employs effective theory methods to refine Higgs property predictions in heavy supersymmetry.

Findings

The Higgs mass predictions are consistent with LHC observations.

Effective theory techniques improve the accuracy of Higgs property calculations.

Comparison with other methods validates the approach.

Abstract

The minimal supersymmetric standard model leads to precise predictions of the properties of the light Higgs boson degrees of freedom that depend on only a few relevant supersymmetry breaking parameters. In particular, there is an upper bound on the mass of the lightest neutral Higgs boson, which for a supersymmetric spectrum of the order of a TeV is barely above the one of the Higgs resonance recently observed at the LHC. This bound can be raised by considering a heavier supersymmetric spectrum, relaxing the tension between theory and experiment. In a previous article, we studied the predictions for the lightest CP-even Higgs mass for large values of the scalar-top and heavy Higgs boson masses. In this article we perform a similar analysis, considering also the case of a CP-odd Higgs boson mass $m_A$ of the order of the weak scale. We perform the calculation using effective theory techniques, considering a two-Higgs doublet model and a Standard Model-like theory and resumming the large logarithmic corrections that appear at scales above and below $m_A$, respectively. We calculate the mass and couplings of the lightest CP-even Higgs boson and compare our results with the ones obtained by other methods.